Classical Recursion Theory

Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with

This collection of case studies for advanced students and scholars in archaeology, Greek archeology, and art history presents the latest fieldwork in the archaeology of ancient Greek sites. The case s

Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantum mechanics and appli

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. Coverage extends to the historical development of analytical probab

Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development

This book is suitable for use in any graduate course on analytical methods and their application to representation theory. Each concept is developed with special emphasis on lucidity and clarity. The

This book is organized in two main parts. Part I presents consolidated knowledge of classical transmission line theory and different field-to-transmission line coupling models. Part II presents diffe

This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniquenes

This book illuminates several timeless principles of political philosophy that have come down to us through the ages in the writings of Plato, Aristotle, Machiavelli, Hobbes, Locke, Montesquieu, Rous

This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. The book takes a pragmatic view of field theory, focusing on issues which are usually omitted from quantum field theory texts and cataloging results which are often hard to find in the literature. Care is taken to explain how results arise and how to interpret them physically, for graduate students starting out in the field. Many physical examples are provided, making the book an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems. It will also be a valuable reference for researchers already working in these and related areas.

The author had initiated a revision and translation of"Classical Diophantine Equations" prior to his death.Given the rapid advances in transcendence theory anddiophantine approximation

This introductory volume illuminates current terrain in social theory by examining major classical theories (Saint-Simon, Comte, Marx, Durkheim, Dilthey, T÷nnies, Simmel and Weber), emphasizing recurr

This new addition to the Longman Critical Readers Series provides an overview of the various ways in which modern critical theory has influenced Chaucer Studies over the last fifteen years. There is s

Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.

This book presents an in-depth, novel, and mathematically rigorous treatment of the modern classical theory of structure and dynamics of prices and income distribution. That treatment is based on the

Offering an excellent overview of approximately 400 years of social theory with a concentration on sociological thought, this book reflects the convergence of social science, natural science, philosop

This undergraduate or graduate text can also be used as a reference or supplement to support the texts in question. Berberoglu (sociology, U. of Nevada, Reno) has collected nine articles from classica

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to enginee

CrimComics offers a new way to approach criminological theory by engaging students with impactful, highly visual illustrated texts. Each CrimComics Issue traces the development of the theory--placing

This book provides a calculus-based perspective on classical mechanics and the theory of relativity. Unlike most conventional textbooks, the discussion on theory is pared down to a minimum in favor of

Written in easily accessible language, the book provides a modern perspective of classical mechanics. Mathematical rigour is intertwined with lucid narration that will generate confidence in students to assimilate and apply fundamental principles of physics. The commonalities and differences of Newton's, Lagrange's and Hamilton's equations are explained in detail. Free, damped, driven oscillators and resonances are analysed systematically. The text extensively covers concepts of fluid mechanics, special theory of relativity, general theory of relativity and Lorentz transformations. The theories of gravitational field, fractals and chaos, Maxwell's laws of electrodynamics, and Einstein's theory of relativity are expanded from the first principle. The text is supported by practice problem sets to help students check their understanding of the concepts.

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arn

Rhetoric -- the theory of oral discourse -- affected and indeed pervaded all aspects of classical thought. Bearing the stamp of its impact were the Homeric hymns, the Iliad and the Odyssey, Aeschylus'

For music lovers who've always wanted to play guitar but have been put off by traditional guitar methods, these books get you playing right away without having to pick through heavy theory and music-r

An accessible guide to the world’s most popular and celebrated works of classical music, and the composers who created them.Who wrote the first true “opera”? Where did the system of musical notation come from? How do composers construct symphonies?The Classical Music Book answers these questions and more by exploring the history of classical music in clear and easy-to-follow sections. More than 90 works by famous composers are analyzed, with explanations of their music theory and impact on society. You will also explore the fascinating stories about the lives of crucial composers and performers.Covering Thomas Tallis in the early period, baroque masters like Bach and Handel, and the classical genius of Beethoven and Wagner all the way to the modern-day composers, this comprehensive book explores the key ideas underpinning the world’s greatest classical compositions and musical traditions. The importance of each composition is explained, placing them into their wider social, cultural, a

Nobody doubts that music has a special, somewhat mysterious power. Less clear is how we can evaluate that power. What makes music good or bad? Are there objective criteria for such a distinction? What

The Orient was central to the work of Marx and Weber, both figures building their theories around the question of why modernity appeared to emerge only in the West. While Marxa€?s account focused on t

This is a history of international monetary thought from the end of the nineteenth to the middle of the twentieth century. It provides a comprehensive survey of the literature produced on international macroeconomics for that period. It will be of interest to teachers of and graduate students in international monetary economics, monetary theory, and the history of economic thought. Professor Flanders argues that progress in the field of international monetary economics (or in the discipline as a whole) has not been linear. Instead of writing a sequential, chronological story, she has classified the literature according to groupings of ideas and classes of models. After a brief survey of the Classical doctrines, the book covers the developments of major approaches, which are labelled Neoclassical, Late Classical, and Keynesian. The models are conceptualized in two streams: stream F encompasses formal, long-run equilibrium models, all of which emerge from a common proto-model involving t

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to descr